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Finding the Fourth Proportional to 10,242.44, 15,343.97 and 6,282.14

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Solution

The fourth proportional to 10,242.44, 15,343.97 and 6,282.14 is: 9,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.44 : 15,343.97 = 6,282.14 : x
  2. Step 2: Convert to fraction form
    10,242.44/15,343.97 = 6,282.14/x
  3. Step 3: Cross multiply
    10,242.44x = 15,343.97 × 6,282.14
  4. Step 4: Simplify right side
    10,242.44x = 96,392,936.29
  5. Step 5: Solve for x
    x = 96,392,936.29/10,242.44
  6. Step 6: Final answer
    x = 9,411.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.